The selection of the basketball players is an illustration of combination
The number of ways the basketball players can be chosen is 78
How to determine the number of selection
The given parameters are:
Number of players (n) =13
Players to select (r) = 2
The number of ways the players can be selected is calculated as:
[tex]^nC_r = \frac{n!}{(n -r)!r!}[/tex]
The equation becomes
[tex]^{13}C_2 = \frac{13!}{(13 -2)!2!}[/tex]
Evaluate the difference
[tex]^{13}C_2 = \frac{13!}{11!2!}[/tex]
Evaluate the factorials
[tex]^{13}C_2 = \frac{13 * 12 * 11!}{11! * 2}[/tex]
Evaluate the quotient
[tex]^{13}C_2 = 13 * 6[/tex]
Evaluate the product
[tex]^{13}C_2 = 78[/tex]
Hence, the number of ways the basketball players can be chosen is 78
Read more about permutation and combination at:
https://brainly.com/question/12468032
